Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference) of fractions. Simplify your answer, if possible.
7x+7/−7x
To divide the polynomial 7x + 7 by the monomial -7x, we can rewrite the expression as a fraction:
(7x + 7) / (-7x)
To simplify the expression, we can factor out a common factor of -7 from the numerator:
(-7)(x + 1) / (-7x)
Now we can cancel out the common factor of -7:
(x + 1) / x
Therefore, dividing 7x + 7 by -7x yields the simplified expression (x + 1) / x.